Determining Proportional Relationships in Tables and Graphs

Mr. Tipton explains proportionality, focusing on identifying proportional relationships in graphs and tables. Proportional graphs show a constant rate of change with a straight line, while non-proportional graphs have curves. In tables, proportionality is determined if all X values are multiplied or divided by the same number to get Y values. Examples are provided to illustrate these concepts, and the lesson concludes with a discussion on real-world applications.

What is the main topic discussed in the video?

• Calculus

• Geometry

• Proportionality

• Algebra

What characteristic does a graph with a proportional relationship have?

• Curved line

• Dotted line

• Straight line

• No line

Tags

CCSS.7.RP.A.2D

What does a non-proportional graph look like?

• It has a straight line

• It has a curved line

• It has no line

• It has a dotted line

Tags

CCSS.7.RP.A.2D

How can you tell if data in a table is proportional?

• If all X's are squared to get Y's

• If all X's are multiplied or divided by the same number to get Y's

• If all X's are subtracted by the same number to get Y's

• If all X's are added by the same number to get Y's

Tags

CCSS.7.RP.A.2A

In the example with X's as 2, 4, 5, 6, and 9, why is the table not proportional?

• Because 2 multiplied by 4 is not 8

• Because 5 multiplied by 4 is not 19

• Because 6 multiplied by 4 is not 24

• Because 4 multiplied by 4 is not 16

Tags

CCSS.7.RP.A.2A

What operation is done to -50 to get 10 in the second example?

• Add 60

• Multiply by -5

• Subtract 40

• Divide by -5

Tags

CCSS.7.EE.B.3

In the second example, what is the result of dividing 35 by -5?

• -7

• 7

• 5

• -5

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of multiplying -6 by 6 in the third example?

• -6

• 0

• -36

• 36

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

In the third example, what is the result of multiplying -3 by 6?

• -18

• 18

• -3

• 0

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What does a straight line on a graph indicate about the relationship between X and Y?

• It is inconsistent

• It is undefined

• It is proportional

• It is non-proportional

Tags

CCSS.7.RP.A.2D